On slant Riemannian submersions for cosymplectic manifolds

\.{I}rem K\; Cengizhan Murathan

doi:10.4134/BKMS.2014.51.6.1749

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2014; 51(6): 1749-1771

Printed November 30, 2014

https://doi.org/10.4134/BKMS.2014.51.6.1749

On slant Riemannian submersions for cosymplectic manifolds

\.{I}rem K\"{u}peli Erken and Cengizhan Murathan

Uludag University, Uludag University

Abstract

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Abstract

In this paper, we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifold. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions in the cases where the characteristic vector field is vertical or horizontal.

Keywords: Riemannian submersion, cosymplectic manifold, slant sub\-mersion

MSC numbers: Primary 53C43, 53C55; Secondary 53D15